Realistic compact stars in conformal teleparallel gravity

Abstract

We explore an interior solution of a physically symmetric vierbein with two unknown functions in conformal teleparallel gravity. The field equations can be described in a closed system for a particular form of the metric potentials and an appropriate anisotropic function. As a result, we find a new set of configurations consistent with observed pulsars. In particular, the boundary conditions for the interior spacetime are used for the Schwarzschild spacetime to constrain the conformal field that with a unit value through the surface of a compact object. Furthermore, we apply the present model to the pulsar $4U1608-52$ with approximated radius $R= 9.52 \pm 0.15$ km and mass $M= 1.74 \pm 0.14\, M_{\circledcirc}$. To analyze the stability, we also study the causality conditions and the adiabatic index by assuming the Tolman-Oppenheimer-Volkov equation, adiabatic index and the static state. Moreover, the consistency of the model under consideration with other pulsars is investigated.